{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "072a9c80",
   "metadata": {},
   "source": [
    "## 基于Q表格的简单价值学习"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab531077",
   "metadata": {},
   "source": [
    "### 定义环境"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "bd0dc9cf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import gymnasium as gym\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "class MyWrapper(gym.Wrapper):\n",
    "    def __init__(self):\n",
    "        env = gym.make('FrozenLake-v1',\n",
    "                    render_mode = 'rgb_array',\n",
    "                    is_slippery=False)  # 如果选true，有概率不执行被采样的action，next station 是随机的\n",
    "        \n",
    "        super().__init__(env)\n",
    "        self.env = env\n",
    "    #重置环境\n",
    "    def reset(self):\n",
    "        # state,info = self.env.reset()\n",
    "        # print(info)\n",
    "        state,_ = self.env.reset()\n",
    "        return state\n",
    "    #执行\n",
    "    def step(self,action):\n",
    "        state,reward,terminated,truncated,info = self.env.step(action)\n",
    "        #如果死亡或强制停止，当前步结束\n",
    "        over = terminated or truncated\n",
    "        #如果走一步没有over，则-1分，鼓励agent尽快完成游戏\n",
    "        if not over:\n",
    "            reward = -1\n",
    "        #如果死亡则-100分\n",
    "        if over and reward == 0:\n",
    "            reward = -100\n",
    "        return state,reward,over\n",
    "    #画图\n",
    "    def show(self):\n",
    "        plt.figure(figsize=(3,3))\n",
    "        plt.imshow(self.render())\n",
    "        plt.show()\n",
    "\n",
    "env = MyWrapper()\n",
    "env.reset()\n",
    "for action in [1,1,2,2,1]:  #0向左，1向下，2向右，3上\n",
    "    env.step(action)\n",
    "env.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "284d251c",
   "metadata": {},
   "source": [
    "### 定义Q表"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "add00741",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.]])"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np \n",
    "Q = np.zeros((16,4)) #16个状态，4个动作，多余一个维度是t。\n",
    "Q"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2b28f016",
   "metadata": {},
   "source": [
    "### 使用贪婪算法玩一局游戏\n",
    "0.9概率从q表中选个最佳回报的动作，\n",
    "0.1概率从action_space中随机抽取一个\n",
    "将所有动作记录，并统计当前一局游戏的回报"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "84cbf0ff",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-195"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import random\n",
    "from IPython import display\n",
    "\n",
    "#玩一局游戏\n",
    "def play(show=False):\n",
    "    data = []   #初始化一个空列表\n",
    "    reward_sum = 0  #初始化当前局游戏的回报\n",
    "    state = env.reset() #初始化状态\n",
    "    over = False\n",
    "    while not over:\n",
    "        action = Q[state].argmax()  #根据当前状态，在q表中查阅哪一个动作回报最大\n",
    "        #使用10%的探索概率,随机选个action\n",
    "        if random.random() < 0.1:   #在[0,1]随机选一个数\n",
    "            action = env.action_space.sample()\n",
    "\n",
    "        next_state,reward,over = env.step(action)\n",
    "        data.append((state,action,reward,next_state,over))  #先存一个time step的数据\n",
    "        #更新状态\n",
    "        reward_sum += reward\n",
    "        state = next_state\n",
    "\n",
    "        if show:\n",
    "            display.clear_output(wait=True) #情况上一步的画图\n",
    "            env.show()\n",
    "\n",
    "    return data,reward_sum\n",
    "\n",
    "play()[1]   #返回reward_sum\n",
    "        \n",
    "        \n",
    "        "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "803bb6c9",
   "metadata": {},
   "source": [
    "###  定义一个数据池类，用于存储游戏过程中的状态转移数据，（数据池与经验回放，off-polycy方法）\n",
    "使用TD来采样数据200个time_step更新Q表"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "302196dc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "len(pool): 255\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(0, 0, -1, 0, False)"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "class Pool:\n",
    "    def __init__(self):\n",
    "        self.pool = []\n",
    "    def __len__(self):\n",
    "        return len(self.pool)\n",
    "    def __getitem__(self,i):\n",
    "        return self.pool[i]\n",
    "    \n",
    "    # 定义更新函数\n",
    "    def update(self):\n",
    "        #每次更新至少200条数据，如果不足则继续调用play获取数据\n",
    "        old_len = len(self.pool)\n",
    "        while len(pool) - old_len < 200:\n",
    "            self.pool.extend(play()[0])\n",
    "        #只保留最新的10000条数据。\n",
    "        self.pool = self.pool[-1_0000:]\n",
    "\n",
    "    #定义采样功能\n",
    "    def sample(self):\n",
    "        return random.choice(self.pool)\n",
    "    \n",
    "pool = Pool()\n",
    "pool.update()\n",
    "print('len(pool):',len(pool))   #\n",
    "pool[0] #(0\t0\t-1\t0\tFalse) state,action,reward,next_state,over\n",
    "      "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8ec3f641",
   "metadata": {},
   "source": [
    "## Q-learning\n",
    "### 1. 目标值（target）计算公式：\n",
    "\n",
    "目标值是通过 即时奖励 和 下一个状态的最大 $Q$ 值 来计算的。目标公式为：\n",
    "\n",
    "$$\n",
    "\\text { target }=r+\\gamma \\max _a Q\\left(s^{\\prime}, a\\right)\n",
    "$$\n",
    "\n",
    "\n",
    "其中:\n",
    "- $r$ 是当前获得的即时奖励 (reward)。\n",
    "- $\\gamma$ 是折扣因子，通常设定为 0.9 ，表示未来奖励的权重。\n",
    "- $\\max _a Q\\left(s^{\\prime}, a\\right)$ 是下一状态 $s^{\\prime}$ 中所有可能动作 a 的最大 Q 值。即智能体从下一状态出发，选择最优动作的 Q 值。\n",
    "### 2. 当前 $Q$ 值（value）：\n",
    "\n",
    "当前的 Q 值是 $Q [$ state, action]，表示在状态 state 下采取动作 action 的价值。\n",
    "### 3. 时间差分误差（TD误差）：\n",
    "$T D$ 误差表示当前 $Q$ 值与目标 $Q$ 值之间的差距，公式如下:\n",
    "\n",
    "$$\n",
    "TD \\text { Error }=\\text { target }-Q(s, a)\n",
    "$$\n",
    "\n",
    "\n",
    "其中:\n",
    "- $Q(s, a)$ 是当前 Q 值，即智能体当前对状态 s 和动作 a 的估计。\n",
    "### 4. 更新量 (update) :\n",
    "update 是基于 TD 误差计算的，用来更新 Q 表中的值。我们乘以一个学习率（通常为 0.1 ），以便对 $Q$ 值进行适当调整，公式为：\n",
    "\n",
    "$$\n",
    "\\text { update }=\\alpha \\cdot(\\text { target }-Q(s, a))\n",
    "$$\n",
    "\n",
    "\n",
    "其中:\n",
    "- $\\alpha$ 是学习率（在代码中为 0.1 ），控制更新的步长。\n",
    "\n",
    "**以上三个公式是教程P56中的公式**\n",
    "  \n",
    "\n",
    "##  SARSA(State-Action-Reward-State-Action)\n",
    "在Q-learning在计算TD-target方式上做出了改进\n",
    "- SARSA: 在 SARSA 中, 目标值 (target) 是基于下一个状态的 实际选择的动作 的 Q 值来计算的，公式为:\n",
    "\n",
    "$$\n",
    "\\text { target }=r+\\gamma Q\\left(s^{\\prime}, a^{\\prime}\\right)\n",
    "$$\n",
    "- **相比于直接取Max,可以更加精确的知道某个动作的价值**\n",
    "-  **此处Q表相对简单，如果Q表更加复杂，有更大的action_space,SARSA的效果会更好**\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "018c4b1e",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "def train():\n",
    "    for epoch in range(5000):\n",
    "        pool.update()# 每个epoch更新数据池\n",
    "\n",
    "        for _ in range(200):  #每个epoch训练100次\n",
    "            #从数据池中随机抽样一个action\n",
    "            state,action,reward,next_state,over = pool.sample()\n",
    "            # 从Q表查阅它的价值\n",
    "            value = Q[state,action]\n",
    "        #  ---------------Q-learning----------------------------------------   \n",
    "            #实际玩一局游戏得到,target= reward + next_station*gamma\n",
    "            # target = reward + Q[next_state].max() * 0.9\n",
    "        #  ------------------SARSA-------------------------------------\n",
    "            #sarsa 会估计出next_aciton,再根据它查出更精确的价值，多了一步计算，但reword更加准确\n",
    "            next_action = Q[next_state].argmax()\n",
    "            target = reward + Q[next_state,next_action] * 0.9\n",
    "\n",
    "            #更新Q表\n",
    "            update = 0.1 * (target - value)\n",
    "            Q[state,action] += update\n",
    "\n",
    "        if epoch % 500 ==0 :\n",
    "            print(epoch,len(pool),play()[-1])\n",
    "\n",
    "train()\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "a101d0e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "-184"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "play(True)[-1]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "36107096",
   "metadata": {},
   "source": [
    "# Q-learning是离线策略off-policy.\n",
    "定义：在离线策略（Off-policy）方法中，学习的策略与行为的策略是不同的。也就是说，智能体可以使用一个策略来进行 行为探索（比如通过随机动作或某种探索策略），而使用另一个策略来 更新Q值或学习（通常是基于最优策略）。这种方法允许智能体从历史经验中学习，而不需要依赖于当前的行为策略。\n",
    "\n",
    "# SARSA算法因为是在线策略on-policy：\n",
    "定义：在在线策略（On-policy）方法中，学习的策略与行为的策略是相同的。也就是说，智能体在探索环境时， 所采取的动作和所学习的策略是同步的，即学习过程依赖于当前正在执行的策略。\n",
    "\n",
    "\n",
    "## sarsa理论上不能用池化,去掉pooling后：\n",
    "SARSA 更新 Q 值的公式如下:\n",
    "\n",
    "$$\n",
    "Q\\left(s_t, a_t\\right) \\leftarrow Q\\left(s_t, a_t\\right)+\\alpha\\left(r_{t+1}+\\gamma Q\\left(s_{t+1}, a_{t+1}\\right)-Q\\left(s_t, a_t\\right)\\right)\n",
    "$$\n",
    "\n",
    "\n",
    "这里， $s_t$ 和 $a_t$ 是当前状态和动作， $r_{t+1}$ 是执行动作后的奖励， $s{t+1}$ 是下一个状态， $a_{t+1}$ 是在状态 $s_{t+1}$ 下选择的动作。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5de6aa8e",
   "metadata": {},
   "source": [
    "### off-policy的优点：\n",
    "- 打破时间依赖：提高了样本的多样性和泛化能力。\n",
    "- 提高样本利用效率：减少了环境交互的频率，提高了训练效率。\n",
    "- 提高训练稳定性：减少了更新中的波动和噪声，提升了收敛速度。\n",
    "- 提高数据效率：复用历史经验，减少了对新数据的需求。\n",
    "- 平衡探索与利用：通过随机采样历史经验，帮助智能体平衡探索和利用，避免陷入局部最优。\n",
    "\n",
    "\n",
    "- **缺点：计算和存储开销：需要额外的计算资源和存储空间，可能影响效率。**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "20d7554b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 -101\n",
      "500 -4.0\n",
      "1000 -4.0\n",
      "1500 -104\n",
      "2000 -4.0\n",
      "2500 -4.0\n",
      "3000 -4.0\n",
      "3500 -4.0\n",
      "4000 -104\n",
      "4500 -102\n"
     ]
    }
   ],
   "source": [
    "##去掉pool的在线学习方法\n",
    "def train():\n",
    "    for epoch in range(5000):\n",
    "        for (state,action,reward,next_state,over) in play()[0]:\n",
    "            #Q表当前action的回报\n",
    "            value = Q[state,action]\n",
    "            #计算TD target\n",
    "            target = reward + Q[next_state,Q[next_state].argmax()]*0.9\n",
    "            update = (target - value)*0.01\n",
    "            Q[state,action] += update\n",
    "        if epoch % 500 ==0:\n",
    "            print(epoch,play()[-1])\n",
    "\n",
    "train()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "e6a7ad85",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "-4.0"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "play(True)[-1]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3c4ddcfc",
   "metadata": {},
   "source": [
    "1-q-learning(离线学习)\n",
    "\n",
    "2-sarsa(离线学习)\n",
    "\n",
    "2-sarsa(在线学习)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f3229550",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "3c9bb3d3",
   "metadata": {},
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "rl2024",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.17"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
